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Arithmetic procedures with integers and decimals

Arithmetic procedures with integers and decimals

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Why this why now

This unit builds on knowledge established in work on factors, multiples squares and cubes, building on the understanding that any positive integer can be expressed as a product of its factors. This skill is used here to explore multiplying and dividing with decimals.

Prior knowledge requirements

  • Perform all four operations with whole numbers
  • Add, subtract, multiply and divide decimals
  • Apply integer rules (positive/negative) to calculations

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Why this why now

This unit builds on knowledge established in work on factors, multiples squares and cubes, building on the understanding that any positive integer can be expressed as a product of its factors. This skill is used here to explore multiplying and dividing with decimals.

Prior knowledge requirements

  • Perform all four operations with whole numbers
  • Add, subtract, multiply and divide decimals
  • Apply integer rules (positive/negative) to calculations

Arithmetic procedures with integers and decimals

In this unit pupils develop their ability and efficacy with the four operations including more complicated and challenging calculations involving fractions, decimals and negative numbers. This leads into an exploration of the priority order of operations.

17 lessons in unit

  1. 1

    Checking understanding of arithmetic procedures with integers and decimals

    I can add, subtract, multiply and divide with integers and decimals.
  2. 2

    Securing understanding of arithmetic procedures with integers and decimals

    I can add, subtract, multiply and divide with integers and decimals using a calculator to check.
  3. 3

    Checking and securing understanding of negative numbers in context

    I can interpret negative numbers in context and can think about negative numbers without context.
  4. 4

    Addition of positive and negative integers

    I can use the mathematical structures that underpin addition to add positive and negative integers.
  5. 5

    Subtraction of positive and negative integers

    I can use the mathematical structures that underpin subtraction to add and subtract positive and negative integers.
  6. 6

    Checking and securing understanding of written addition and subtraction strategies

    I can generalise and fluently use written addition and subtraction strategies, including columnar formats, with decimals.
  7. 7

    Checking and securing understanding of multiplication and division

    I can use the mathematical structures that underpin multiplication and division of positive integers.
  8. 8

    Multiplication and division where only one value is negative

    I can use the mathematical structures that underpin multiplication and division of one or more positive integers with one negative integer.
  9. 9

    Multiplication and division where two or more values are negative

    I can use the mathematical structures that underpin multiplication and division of negative integers.
  10. 10

    Simplifying multiplication and division using multiples of 10

    I can factorise multiples of 10^n in order to simplify multiplication and division of both integers and decimals.
  11. 11

    Multiplying with decimals

    I can generalise and fluently use written multiplication strategies to calculate accurately with decimals.
  12. 12

    Dividing with decimals

    I can generalise and fluently use written division strategies to calculate accurately with decimals.
  13. 15

    Priority of operations with positive integers

    I can calculate using priority of operations, including brackets, powers and exponents with positive integers
  14. 16

    Priority of operations with positive and negative integers and decimals

    I can calculate using priority of operations, including brackets, powers and exponents with positive and negative integers and decimals.
  15. 17

    Using the associative, commutative and distributive laws together

    I can use the associative, distributive and commutative laws to flexibly and efficiently solve problems
  16. 18

    Using your calculator efficiently

    I can fluently use certain calculator functions and use a calculator appropriately.
  17. 19

    Problem solving with integers and decimals

    I can use my knowledge of calculating with integers and decimals to solve problems.

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak